An exponential spline solution of nonlinear Schrödinger equations with constant and variable coefficients
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Publication:525783
DOI10.1016/j.cpc.2013.12.015zbMath1360.35251OpenAlexW2035184693MaRDI QIDQ525783
Publication date: 5 May 2017
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2013.12.015
stabilityconvergenceenergy methodnonlinear Schrödinger equationGross-Pitaevskii equationexponential splineCrank-Nicolson formulation
Numerical computation using splines (65D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Sextic B-spline collocation method for solving Euler-Bernoulli beam models ⋮ Error estimates for interpolation with piecewise exponential splines of order two and four ⋮ Smooth quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions ⋮ A high-order accurate wavelet method for solving Schrödinger equations with general nonlinearity ⋮ Numerical modeling of exciton-polariton Bose-Einstein condensate in a microcavity ⋮ On a conservative Fourier spectral Galerkin method for cubic nonlinear Schrödinger equation with fractional Laplacian ⋮ Quintic B-spline collocation approach for solving generalized Black-Scholes equation governing option pricing
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